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Finding the Third Proportional to 340,058 and 744,757

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Solution

The third proportional to 340,058 and 744,757 is: 1,631,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,058 : 744,757 = 744,757 : x
  2. Step 2: Convert to fraction form
    340,058/744,757 = 744,757/x
  3. Step 3: Cross multiply
    340,058x = 744,757 × 744,757
  4. Step 4: Simplify right side
    340,058x = 554,662,989,049
  5. Step 5: Solve for x
    x = 554,662,989,049/340,058
  6. Step 6: Final answer
    x = 1,631,083.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.